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Standard VI

Mathematics

Divisibility Rule for 4

Question 10De...

Question

Question 10

Determine if 25110 is divisible by 45.

[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

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Solution

The prime factorization of $45 = 5 \times 9$
25110 is divisible by 5 as ‘0’ is at its unit place.
25110 is divisible by 9 as the sum of digits is divisible by 9.
Therefore, the number must be divisible by $5 \times 9 = 45$

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Similar questions

Determine if 25110 is divisible by 45.

[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

Question 11

Write five pairs of prime numbers less than 20 whose sum is divisible by 5.
[Hint: 3 + 7 = 10]

Question 1

Which of the following statements are true:
(a) If a number is divisible by 3, it must be divisible by 9.
(b) If a number is divisible by 9, it must be divisible by 3.
(c) If a number is divisible by 18, it must be divisible by both 3 and 6.
(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.
(e) If two numbers are co-primes, at least one of them must be prime.
(f) All numbers which are divisible by 4 must also be divisible by 8.
(g) All numbers which are divisible by 8 must also be divisible by 4.
(h) If a number exactly divides two numbers separately, it must exactly divide their sum.
(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

Question 199

Using divisibility test, determine which of the following numbers are divisible by 4?

(a) 4096

(b) 21084

Which of the following statements are true?

(a) If a number is divisible by 3, it must be divisible by 9.

(b) If a number is divisible by 9, it must be divisible by 3.

(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

(e) If two numbers are co-primes, at least one of them must be prime.

(f) All numbers which are divisible by 4 must also be divisible by 8.

(g) All numbers which are divisible by 8 must also be divisible by 4.

(h) If a number exactly divides two numbers separately, it must exactly divide their sum.

(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

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Divisibility Rule for 4

Standard VI Mathematics

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Question 10 Determine if 25110 is divisible by 45. [Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

The prime factorization of 45=5×9 25110 is divisible by 5 as ‘0’ is at its unit place. 25110 is divisible by 9 as the sum of digits is divisible by 9. Therefore, the number must be divisible by 5×9=45

Question 10

Determine if 25110 is divisible by 45.

[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

The prime factorization of $45 = 5 \times 9$
25110 is divisible by 5 as ‘0’ is at its unit place.
25110 is divisible by 9 as the sum of digits is divisible by 9.
Therefore, the number must be divisible by $5 \times 9 = 45$